Question

The volume of a solid cylinder is 1584 cubic cm and its height is 14 cm. The radius is

Answer 1

Answer: 6 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x radius ² x height  

Replacing with the values given and solving for v (Volume)  

1584 = π x r ² x 14

Solving for r:

1584 / (π x 14) = r²

36.01 = r²

√36.01 = r

6 cm = r

In conclusion, the radius of the cylinder is 6 centimeters.

Feel free to ask for more if needed or if you did not understand something.

Answer 2

Answer:

The radius is 6 cm

Step-by-step explanation:

To solve this, we will follow the steps below:

write down the formula for finding the volume of a cylinder

volume of a cylinder =πr²h

from the question volume of the cylinder = 1584 cm²

height = 14 cm

substitute the formula and solve for r

π is a constant and is ≈ 3.14

1584 = 3.14×r²×14

1584= 43.96 r²

divide both-side of the equation by 43.96

36≈ r²

take the square root of both-side

√36 = √r²

6 = r

r = 6cm

The radius is 6 cm